Math, asked by nikitanayak, 5 months ago

please solve this one​

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Answered by sanskar6732
31

Hey Mate

Things to be calculated

(1) Height

(2) Curved surface area

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Formula to be used :

Volume of Cylinder

 =  > pi \:  \times r ^{2}  \times h

Curved surface area of cylinder

 =  > 2 \times pi \times r \times h

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Values Given :

Volume = 160 × pi × cm^3

Radius = 5cm

Height = ?

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ᴠᴏʟᴜᴍᴇ ᴏғ ᴀ ᴄʏʟɪɴᴅᴇʀ = 160pi cm^3

pi \times r ^{2} h = 160 \times pi \times cm ^{3}

pi \times (5) ^{2}  \times h = 160 \times picm ^{3}

h = \frac{32}{5} cm

• ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴀ ᴄʏʟɪɴᴅᴇʀ = 2 . pi . r. h

2 \times pi \times r \times h = 2 \times pi \times 5 \times  \frac{32}{5}

On solving 5 will get cancelled:

ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ :

64pi cm^2

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